EP0324708B1 - Verfahren und Gerät zur Messung von Vibrationen - Google Patents

Verfahren und Gerät zur Messung von Vibrationen Download PDF

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Publication number
EP0324708B1
EP0324708B1 EP89630007A EP89630007A EP0324708B1 EP 0324708 B1 EP0324708 B1 EP 0324708B1 EP 89630007 A EP89630007 A EP 89630007A EP 89630007 A EP89630007 A EP 89630007A EP 0324708 B1 EP0324708 B1 EP 0324708B1
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Prior art keywords
predetermined
probe
length
beams
component
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EP89630007A
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French (fr)
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EP0324708A2 (de
EP0324708A3 (de
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James P. Waters
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RTX Corp
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United Technologies Corp
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01D—MEASURING NOT SPECIALLY ADAPTED FOR A SPECIFIC VARIABLE; ARRANGEMENTS FOR MEASURING TWO OR MORE VARIABLES NOT COVERED IN A SINGLE OTHER SUBCLASS; TARIFF METERING APPARATUS; MEASURING OR TESTING NOT OTHERWISE PROVIDED FOR
    • G01D5/00—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable
    • G01D5/26—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable characterised by optical transfer means, i.e. using infrared, visible, or ultraviolet light
    • G01D5/268—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable characterised by optical transfer means, i.e. using infrared, visible, or ultraviolet light using optical fibres
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01H—MEASUREMENT OF MECHANICAL VIBRATIONS OR ULTRASONIC, SONIC OR INFRASONIC WAVES
    • G01H9/00—Measuring mechanical vibrations or ultrasonic, sonic or infrasonic waves by using radiation-sensitive means, e.g. optical means

Definitions

  • This invention relates to interferometric measuring systems and more particularly to optical measuring arrangements and matters using interferometers with common optical paths.
  • Fiber optic interferometers of the prior art include those characterized as modified Mach-Zehnder or Twyman-Green interferometers.
  • these interferometers use light from a coherent source split into two optical beams.
  • One of these beams constitutes a reference beam and traverses an optical path of a fixed length.
  • the other beam constitues a probe beam and is guided along an optical path whose length is altered by the movement of an external object or workpiece being measured.
  • the reference and probe beams are subsequently coherently recombined to produce an interference pattern indicative of the vibration or dynamic distortion of the mechanical element.
  • Heterodyne optical interferometers are also well known in the art. These devices are similar to basic Mach-Zehnder and Twyman-Green interferometers but are modified to include an optical modulator which shifts the optical frequency of the reference and/or probe beam. As in the basic Mach-Zehnder or Twyman-Green interferometers, the optical path length of the probe beam is altered by the vibrating external object. The reference and probe beams are again subsequently recombined, yielding a frequency modulated (FM) beam with a carrier frequency equal to the frequency of the optical modulator and deviations from the carrier frquency caused by the vibration or dynamic distortion of the external object. The deviations which are caused by the motion of the external object are then extracted by conventional FM demodulation techniques.
  • FM frequency modulated
  • the reference and probe beams are usually guided along optical paths that include separate optical fibers.
  • This configuration ensures that a truly stationary reference wavefront is used for comparison with the unknown Doppler shifted wavefront returning from the object.
  • the optical fibers act as microphones in picking up environmental noise.
  • This environmental noise signal is comprised of unwanted Doppler shifts due to environmental vibrations and attendant slight variations in the refractive index of the optical fiber carrying the probe or reference beam, and is added to the measured vibration signal from the object the motion of which is being measured, resulting in a distortion of the actual vibration frequency and amplitude signature imposed onto the returning light beam.
  • the above zone has a finite area which exhibits surface irregularities having magnitudes capable of distorting the wavefront of the returning combined beam even when the object surface is of a very high surface quality, so that the remainder of the combined beam is scattered to a certain degree during its reflection from the above zone and forms a speckle pattern that includes bright and dark speckles due to interference in the returning combined beam.
  • the above location is situated at the bright speckle; when it is not, there occurs a signal dropout due to the low or non-existent intensity of returning light at the above location due to its alignment with the dark speckle.
  • Still another object of the present invention is so to develop the method of the type here under consideration as to virtually assure that reliable measurement results are obtained in spite of the existence of the speckle pattern.
  • a concomitant object of the present invention is to devise a measuring arrangement capable of performing the method of the above type.
  • An additional object of the present invention is to design the above measuring arrangement in such a manner as to present reliable measuring results regardless of the position of the aforementioned location relative to the speckle pattern.
  • one feature of the present invention resides in a method of measuring the movement of a predetermined zone of a surface of a vibrating object, which method comprises the steps of generating a laser beam having a predetermined coherence length; separating the laser beam into a probe beam and a reference beam; delaying the reference beam relative to the probe beam by a predetermined time interval sufficient for the probe beam to travel through a predetermined distance at least corresponding to the coherence length; combining the thus delayed reference beam with the probe beam to form a combination beam; subdividing the combination beam into a plurality of substantially equal component beams; conducting each of the component beams along a separate path to a separate associated location spaced from the predetermined zone substantially by one-half of the distance traveled by light in said predetermined time interval in the medium or media situated between the respective associated location and the predetermined zone; reflecting a predetermined portion of each of the component beams at the respective associated location back into the respective path; directing the remainder of each of the component beams
  • the present invention is also directed to an arrangement for measuring the movement of a predetermined zone of a surface of a vibrating object.
  • this arrangement comprises means for generating a laser beam having a predetermined coherence length; means for separating the laser beam into a probe beam and a reference beam; means for delaying the reference beam relative to the probe beam by a predetermined time interval sufficient for the probe beam to travel through a predetermined distance at least corresponding to the coherence length; means for combining the thus delayed reference beam with the probe beam to form a combination beam; means for subdividing the combination beam into a plurality of substantially equal component beams; means for conducting each of the component beams along a separate path to a separate associated location spaced from the predetermined zone substantially by one-half of the distance traveled by light in said predetermined time interval in the medium or media situated between the respective associated location and the predetermined zone; means for reflecting a predetermined portion of each of the component beams at the respective associated location back into the respective path; means for directing the remainder of each of the component beam
  • a particular advantage obtained from the use of the method and arrangement of the present invention is that there is a plurality of the locations at which the coherent interference of the returning part of the probe beam with the reflected portion of the reference beam takes place, so that it is highly unlikely if not impossible that all of these locations would be aligned with dark regions of the speckle pattern.
  • the method and arrangement of the present invention virtually assure that there will be detection under all circumstances, so long as the above locations are situated within a predetermined distance range from the predetermined zone and the combination beams are aimed at this zone.
  • the measuring arrangement 10 includes a laser source 11, such as a laser diode marketed under the designation Sharp LT023MC which operates at a wavelength of 780 nanometers.
  • a laser source 11 such as a laser diode marketed under the designation Sharp LT023MC which operates at a wavelength of 780 nanometers.
  • the laser source 11 issues a laser beam 12 having a relatively short coherence length.
  • the laser beam 12 enters a beam splitting device 13, which may include a fiber optic coupler, a preceding focusing lens, and subsequent collimating lenses, and which splits the laser beam 12 into two substantially equal partial beams 14 and 15 that are coherent with one another.
  • the partial beam 14 is shown to be directed onto a modulator 16, especially an acousto-optic modulator or Bragg cell that is commercially available, for instance, as a Hoya A-100 modulator.
  • the modulator 16 downshifts the frequency of the partial beam 14 by, for example, approximately 75 MHz.
  • the partial beam 15 is shown to be directed onto a modulator 17 which is advantageously of the same construction as the modulator 16.
  • the modulator 17 upshifts the frequency of the partial beam 15 by, for example, approximately 85 MHz, so that there is a 160 MHz difference between the frequencies of respective carrier-modulated laser beams 18 and 19 that emerge from the respective modulators 16 and 17.
  • the above-mentioned frequencies and modulating frequncy distribution which have been used in a practical embodiment of the present invention are not critical and may be changed either to change the frequency difference, or to keep it and change the amounts by which the two modulators 16 and 17 contribute to this difference, ultimately to the extent that only one of the modulators 16 and 17 is being used and no carrier modulation is imposed on the other partial beam 15 or 14.
  • both of the modulators 16 and 17 may be omitted if it is not desired to impose carrier modulation on the partial beams 14 and 15.
  • the carrier-modulated partial beams 18 and 19 (and/or the unmodulated partial beams 14 and 15) are focused by respective lenses 20 and 21 into respective optical fibers or fiber sections 22 and 23 which are shown to lead from one side to a 3 x 3 fiber-optic coupler 24.
  • the fiber section 22 has a predetermined length L1
  • the fiber section 23 has a length L2, the length L2 exceeding the length L1 by a distance that at least corresponds to but preferably exceeds the aforementioned coherence length.
  • any region of the partial beam propagating in the optical fiber section 23 will reach the fiber-optic coupler 24 a predetermined time interval, which corresponds to the transit time of light through the aforementioned distance, later than the corresponding coherent region of the partial beam propagating in the optical fiber section 22, so that the light in such regions will be out of coherence with one another by the time such regions reach the coupler 24.
  • these partial beams are incoherently combined with one another, without losing their identites as a probe beam (from the fiber 22) and reference beam (from the fiber 23), and the combined beam is then subdivided in three substantially equal component beams which leave the coupler 24 at the other side thereof and are launched into respective optical fibers 25, 26 and 27.
  • the optical fibers 25, 26 and 27 are preferably contained in a single optical cable. When either one of the component beams reaches an end face of the respective fiber 25, 26 and 27, a portion thereof will be reflected from this end face (or from a coating applied to this end face) back into the respective fiber 25, 26 or 27 for propagation back toward the coupler 24.
  • the remainder of the respective component beam issues from the downstream end of the respective fiber 25, 26 or 27, and is collimated by a respective lens 28, 29 or 30 to form a respective collimated component beam remainder 31, 32 or 33, and the collimated component beam remainders are focused by a shared lens 34 onto a region or zone 35 of a surface 36 of an object 37 whose vibrations are to be measured.
  • At least a part of the light that reaches the zone 35 is returned back, usually as scattered radiation that, as is well known, forms a speckle pattern at the plane of the end faces of the fibers 25, 26 and 27.
  • the thus returned light reaches the end face of the respective fiber, it interferes with any light with which it is coherent. This means that the probe beam part of the returning light interferes with the reference beam part of the reflected portion of the combined beam in the associated optical fiber section 25, 26 or 27.
  • the returning probe beam part stemming from one of the optical fiber sections, such as 25, could also interfere with reference beam part of the reflected portion in the other optical fiber sections, such as 26 and 27. This could give erroneous results.
  • the optical fiber sections 25, 26 and 27 have different lengths L3, L4 and L5, the lengths L4 and L5 being longer than the length L3 and than one another, as indicated by a single loop in the fiber section 26 and by a double loop in the fiber section 27, and being at least in a predetermined ratio to the aforementioned distance L2 - L1. According to the invention, this ratio advantageously is an integral multiple of 3.
  • the returning light beams propagating in the fiber optic sections 25, 26 and 27 eventually reach the 3 x 3 optical coupler where the component beams are recombined with one another and a portion of the thus recombined light beam is conducted through another fiber section to a photodetector 51 which converts the light signal into an electrical signal, in a well known manner.
  • This electrical signal is then demodulated in a demodulator 52 of any known construction, particularly an FM demodulator, to obtain an indication of the vibratory movement of the zone 35.
  • the locations of the end faces of the fiber sections 25, 26 and 27 are spaced from the zone 35 by substantially one-half of the distance traveled by light during the predetermined time interval in the medium or media situated between these end faces and the zone 35.
  • the reference numeral 38 designates a sheath which accommodates the downstream end portions of the fiber sections 25, 26 and 27 and is connected to a housing or wand 39.
  • a holding member 40 is held substantially centrally in the housing 39 by respective webs 41 and confines the extreme end portions of the fiber sections in the positions thereof which are illustrated in Figure 3, that is, at the corners of an isosceles triangle.
  • the light emanating from the end faces of the fiber sections is focused by a shared lens 42 mounted in the housing 39 onto the zone 35 of the surface 36 of the vibrating object 37.
  • the spots formed by the combination beam remainders issuing from the fiber sections 25, 26 and 27 usually do not coincide, but they are still close enough to one another to assure that the vibrations of one and the same zone 35 are being measured.
  • multimode optical fiber exhibiting a limited number of modes, such as that having a core diameter of approximately 10 microns, in the arrangement of the present invention.
  • the reason for this will become apparent from a comparison of Figures 4 and 5 of the drawing with one another. More particularly, if a single mode fiber were used, the signal level would undergo considerable changes in dependence on the path length mismatch or difference between the arms of the interferometer. This is shown in Figure 4 for a situation where a GO-1000 laser diode has been used as the laser source, with -108 dBm being the approximate noise limit of the detection electronics.
  • a multi-mode fiber is being used in the arms of the interferometer, the characteristic fringe visibility profile of the laser is repeated several times.

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Measurement Of Mechanical Vibrations Or Ultrasonic Waves (AREA)
  • Instruments For Measurement Of Length By Optical Means (AREA)
  • Length Measuring Devices By Optical Means (AREA)
  • Investigating Or Analyzing Materials By The Use Of Ultrasonic Waves (AREA)

Claims (18)

  1. Verfahren zum Messen der Bewegung einer vorbestimmten Zone (35) einer Oberfläche (36) eines vibrierenden Objekts (37), beinhaltend die Schritte:
    Erzeugen eines Laserbündels (12), das eine vorbestimmte Kohärenzlänge hat;
    Aufteilen des Laserbündels (12) in ein Prüfbündel (14) und ein Referenzbündel (15);
    Verzögern des Referenzbündels (15) relativ zu dem Prüfbündel (14) um ein vorbestimmtes Zeitintervall, das ausreicht, damit das Prüfbündel eine vorbestimmte Strecke zurücklegt, die wenigstens der Kohärenzlänge entspricht;
    Vereinigen (24) des so verzögerten Referenzbündels mit dem Prüfbündel, um ein Vereinigtes Bündel zu bilden;
    Unterteilen (24) des vereinigten Bündels in mehrere im wesentlichen gleiche Teilbündel;
    Leiten jedes der Teilbündel auf einem separaten Weg (25, 26, 27) zu einem separaten zugeordneten Ort, der von der vorbestimmten Zone (35) im wesentlichen um die Hälfte der Strecke beabstandet ist, die durch das Licht in dem vorbestimmten Zeitintervall in dem Medium oder den Medien zwischen dem zugeordneten Ort und der vorbestimmten Zone (35) zurückgelegt wird;
    Reflektieren eines vorbestimmten Teils von jedem der Teilbündel an dem zugeordneten Ort zurück auf den betreffenden Weg (25, 26, 27);
    Richten des Restes (31, 32, 33) von jedem der Teilbündel von dem zugeordneten Ort aus auf die vorbestimmte Zone (35) zur Rückkehr von der vorbestimmten Zone (35) zumindest überwiegend zurück zu dem zugeordneten Ort und auf den betreffenden Weg mit davon begleiteter kohärenter Interferenz des Prüfbündelteils des so zurückgeleiteten Restes des entsprechenden Teilbündels mit dem Referenzbündelteil des vorbestimmten Teils des betreffenden Teilbündels, was ein Rückkehrlichtbündel ergibt, das in Abhängigkeit von der Bewegung der vorbestimmten Zone relativ zu dem zugeordneten Ort moduliert ist; und
    Demodulieren des Rückkehrlichtbündels durch einen einzelnen Demodulator (52), um eine Anzeige der Bewegung der vorbestimmten Zone (35) zu erzielen.
  2. Verfahren nach Anspruch 1, wobei der Schritt des Leitens beinhaltet, jedes der Teilbündel auf eine separate Lichtleitfaser (25, 26, 27) zu beschränken.
  3. Verfahren nach Anspruch 1, wobei der Verzögerungsschritt beinhaltet, das Prüfbündel (14) auf einem Weg (22) einer vorbestimmten Länge (L₁) und das Referenzbündel (15) auf einem weiteren Weg (23) zu leiten, der eine Länge (L₂) hat, die die vorbestimmte Länge (L₁) um die vorbestimmte Strecke übersteigt.
  4. Verfahren nach Anspruch 1, wobei der Verzögerungsschritt beinhaltet, das Prüfbündel (14) auf eine Lichtleitfaser (22) zu beschränken, die eine vorbestimmte Länge (L₁) hat, und das Referenzbündel (15) auf eine weitere Lichtleitfaser (23), die eine Länge (L₂) hat, welche die vorbestimmte Länge (L₁) um die vorbestimmte Strecke übersteigt.
  5. Verfahren nach Anspruch 1, weiter beinhaltend den Schritt Verzögern von wenigstens einem der Teilbündel relativ zu einem weiteren vor dem Erreichen der zugeordneten Orte um eine Zeitspanne, welche das vorbestimmte Zeitintervall übersteigt und wenigstens in einem derartigen vorbestimmten Verhältnis dazu steht, daß der reflektierte Prüfbündelteil, der aus einem der Teilbündel stammt, einen der zugeordneten Orte, der von dem verschieden ist, welcher dem einen Teilbündel zugeordnet ist, außer Kohärenz mit den Teilen sowohl des Prüf- als auch des Referenzbündels, die an dem anderen zugeordneten Ort reflektiert werden, erreicht.
  6. Verfahren nach Anspruch 5, wobei das vorbestimmte Verhältnis ein ganzzahliges Vielfaches von 3 ist.
  7. Verfahren nach Anspruch 1, weiter beinhaltend den Schritt Wiedervereinigen der Rückkehrlichtbündel vor dem Demodulierschritt.
  8. Verfahren nach Anspruch 1, weiter beinhaltend den Schritt Verschieben der Frequenz wenigstens des Referenzbündels (15) oder des Prüfbündels (14) vor dem Vereinigungsschritt um eine vorbestimmte Trägerfrequenz relativ zu der des anderen Bündels, so daß die Modulation des Rückkehrlichtbündels in Abhängigkeit von der Bewegung der vorbestimmten Zone (35) mit der vorbestimmten Trägerfrequenz überlagert ist.
  9. Anordnung zum Messen der Bewegung einer vorbestimmten Zone (35) einer Oberfläche (36) eines vibrierenden Objekts (37), beinhaltend:
    eine Einrichtung (11) zum Erzeugen eines Laserbündels (12), das eine vorbestimmte Kohärenzlänge hat;
    eine Einrichtung (13) zum Aufteilen des Laserbündels (12) in ein Prüfbündel (14) und ein Referenzbündel (15);
    eine Einrichtung (22, 23) zum Verzögern des Referenzbündels (15) relativ zu dem Prüfbündel (14) um ein vorbestimmtes Zeitintervall, das ausreicht, damit das Prüfbündel (14) eine vorbestimmte Strecke durchläuft, die wenigstens der Kohärenzlänge entspricht;
    eine Einrichtung (24) zum Vereinigen des so verzögerten Referenzbündels (15) mit dem Prüfbündel (14), um ein vereinigtes Bündel zu bilden;
    eine Einrichtung (24) zum Unterteilen des vereinigten Bündels in mehrere im wesentlichen gleiche Teilbündel;
    eine Einrichtung (25, 26, 27) zum Leiten jedes der Teilbündel auf einem separaten Weg zu einem separaten zugeordneten Ort, der von der vorbestimmten Zone (35) im wesentlichen um die Hälfte der Strecke beabstandet ist, die durch Licht in dem vorbestimmten Zeitintervall in dem Medium oder den Medien zwischen dem zugeordneten Ort und der vorbestimmten Zone (35) zurückgelegt wird;
    eine Einrichtung (Endseite von 25, 26, 27) zum Reflektieren eines vorbestimmten Teils von jedem der Teilbündel an dem zugeordneten Ort zurück auf den betreffenden Weg (25, 26, 27);
    eine Einrichtung (34) zum Richten des Restes von jedem der Teilbündel von dem zugeordneten Ort aus zu der vorbestimmten Zone (35) zur Rückkehr von der vorbestimmten Zone (35) wenigstens überwiegend zurück zu dem zugeordneten Ort und auf den betreffenden Weg mit davon begleiteter kohärenter Interferenz des Prüfbündelteils des so zurückgekehrten Restes des Teilbündels mit dem Referenzbündelteil des vorbestimmten Teils des betreffenden Teilbündels, was ein Rückkehrlichtbündel ergibt, das in Abhängigkeit von der Bewegung der vorbestimmten Zone relativ zu dem zugeordneten Ort moduliert ist;
    eine einzelne Demodulatoreinrichtung (52) zum Demodulieren der Rückkehrlichtbündel, um eine Anzeige der Bewegung der vorbestimmten Zone (35) zu erzielen.
  10. Anordnung nach Anspruch 9, wobei die Leiteinrichtung (25, 26, 27) mehrere separate Lichtleitfasern aufweist, in denen jeweils ein anderes der Teilbündel übertragen wird.
  11. Anordnung nach Anspruch 9, wobei die Verzögerungseinrichtung (22, 23) eine Einrichtung aufweist zum Leiten des Prüfbündels (14) auf einem Weg (22) einer vorbestimmten Länge (L₁) und des Referenzbündels (15) auf einem weiteren Weg (23), der eine Länge (L₂) hat, die die vorbestimmte Länge (L₁) um die vorbestimmte Strecke übersteigt.
  12. Anordnung nach Anspruch 11, wobei die Leiteinrichtung der Verzögerungseinrichtung (22, 23) eine Lichtleitfaser (22) aufweist, die eine vorbestimmte Länge (L₁) hat und das Prüfbündel (14) in sich aufnimmt, und eine weitere Lichtleitfaser (23), die eine Länge (L₂) hat, welche die vorbestimmte Länge (L₁) um die vorbestimmte Strecke übersteigt, und das Referenzbündel (15) in sich aufnimmt.
  13. Anordnung nach Anspruch 9, weiter beinhaltend eine Hilfsverzögerungseinrichtung zum Verzögern von wenigstens einem der Teilbündel relativ zu einem anderen vor dem Erreichen der zugeordneten Orte um eine Zeitspanne, welche das vorbestimmte Zeitintervall übersteigt, und wenigstens in einem derartigen vorbestimmten Verhältnis dazu steht, daß der reflektierte Prüfbündelteil, der aus einem der Teilbündel stammt, einen der zugeordneten Orte erreicht, der von dem verschieden ist, welcher dem einen Teilbündel zugeordnet ist, außer Kohärenz mit den Teilen sowohl des Prüfbündels (14) als auch des Referenzbündels (15), die an dem unterschiedlichen zugeordneten Ort reflektiert werden.
  14. Anordnung nach Anspruch 13, wobei das vorbestimmte Verhältnis ein ganzzahliges Vielfaches von 3 ist.
  15. Anordnung nach Anspruch 13, wobei die Leiteinrichtung (25, 26, 27) mehrere separate Lichtleitfasern aufweist, die jeweils ein anderes der Teilbündel (31, 32, 33) in sich aufnehmen und von denen eines eine vorbestimmte Länge (L₃, L₄, L₅) hat, und wobei wenigstens eine andere der Lichtleitfasern einen Abschnitt der vorbestimmten Länge und einen weiteren, sich an den einen Abschnitt anschließenden und eine Länge aufweisenden Abschnitt hat, die in dem vorbestimmten Verhältnis zu der vorbestimmten Strecke steht, um die Hilfsverzögerungseinrichtung zu bilden.
  16. Anordnung nach Anspruch 9, weiter mit einer Einrichtung (24) zum Wiedervereinigen der Rückkehrlichtbündel vor dem Erreichen der Demoduliereinrichtung (52).
  17. Anordnung nach Anspruch 16, wobei die Vereinigungs-, Unterteil- und Wiedervereinigungseinrichtung (24) durch einen Lichtleitfaserkoppler gebildet sind.
  18. Anordnung nach Anspruch 9, weiter mit einer Einrichtung (16, 17) zum Verschieben der Frequenz wenigstens des Referenzbündels (15) oder des Prüfbündels (14) vor dem Erreichen der Vereinigungseinrichtung (24) um eine vorbestimmte Trägerfrequenz relativ zu der des anderen Bündels, so daß die Modulation des Rückkehrlichtbündels in Abhängigkeit von der Bewegung der vorbestimmten Zone (35) der vorbestimmten Trägerfrequenz überlagert ist.
EP89630007A 1988-01-11 1989-01-10 Verfahren und Gerät zur Messung von Vibrationen Expired - Lifetime EP0324708B1 (de)

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Application Number Priority Date Filing Date Title
AT89630007T ATE104430T1 (de) 1988-01-11 1989-01-10 Verfahren und geraet zur messung von vibrationen.

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US07/142,889 US4892406A (en) 1988-01-11 1988-01-11 Method of and arrangement for measuring vibrations
US142889 1999-07-08

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EP0324708A2 EP0324708A2 (de) 1989-07-19
EP0324708A3 EP0324708A3 (de) 1991-04-03
EP0324708B1 true EP0324708B1 (de) 1994-04-13

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US (1) US4892406A (de)
EP (1) EP0324708B1 (de)
JP (1) JP2686124B2 (de)
AT (1) ATE104430T1 (de)
DE (1) DE68914472T2 (de)
FI (1) FI92958C (de)

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US4892406A (en) 1990-01-09
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JP2686124B2 (ja) 1997-12-08
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ATE104430T1 (de) 1994-04-15

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